Finite Group Databasebeta

← D61×#3179 #30549889

Subgroups — D61×#3179 #30549889

Order 15616.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D61C211yesmaximal, characteristic, complemented
2#540×D61C211yesmaximal, characteristic, complemented
3#21456509C211yesmaximal, characteristic, complemented
4#21456508C211yesmaximal, characteristic, complemented
5#21456507C211yesmaximal, characteristic, complemented
6#21456506C211yesmaximal, characteristic, complemented
7#21456505C211yesmaximal, characteristic, complemented
8#21456504C211yesmaximal, characteristic, complemented
9#21456503C211yesmaximal, characteristic, complemented
10#21456502C211yesmaximal, characteristic, complemented
11#21456501C211yesmaximal, characteristic, complemented
12#21456500C211yesmaximal, characteristic, complemented
13#21456499C211yesmaximal, characteristic, complemented
14#21456498C211yesmaximal, characteristic, complemented
15#21456497C211yesmaximal, characteristic, complemented
16#21456496C211yesmaximal, characteristic, complemented
17#21456495C211yesmaximal, characteristic, complemented
18#501×D61C211yesmaximal, characteristic, complemented
19#496×D61C211yesmaximal, characteristic, complemented
20#488×D61C211yesmaximal, characteristic, complemented
21#486×D61C211yesmaximal, characteristic, complemented
22#469×D61C211yesmaximal, characteristic, complemented
23#468×D61C211yesmaximal, characteristic, complemented
24#466×D61C211yesmaximal, characteristic, complemented
25#465×D61C211yesmaximal, characteristic, complemented
26#442×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28C4×SD16×D61C211yesmaximal, characteristic, complemented
29C4×D8×D61C211yesmaximal, characteristic, complemented
30#405×D61C211yesmaximal, characteristic, complemented
31C61×#3179C211yesmaximal, characteristic, complemented
32C2×SD16×D61C2211yescharacteristic
33C2×SD16×D61C2211yescharacteristic
34C2×D8×D61C2211yescharacteristic
35C2×D8×D61C2211yescharacteristic
36C2×M16×D61C2211yescharacteristic
37C22×C8×D61C2211yescharacteristic
38#16840386C2211yescharacteristic, complemented
39#16840385C2211yescharacteristic, complemented
40#16840384C2211yescharacteristic, complemented
41#16840383C2211yescharacteristic, complemented
42#16840382—21no—
43#16840381C2211yescharacteristic, complemented
44#16840380—21no—
45#16840379C2211yescharacteristic, complemented
46#16840378—21no—
47#16840377C2211yescharacteristic, complemented
48#16840376—21no—
49#16840368C2211yescharacteristic, complemented
50#16840367C2211yescharacteristic, complemented
51#16840366C2211yescharacteristic, complemented
52#16840365C2211yescharacteristic, complemented
53#16840365C2211yescharacteristic, complemented
54#16840364—21no—
55#16840364—21no—
56#16840363C2211yescharacteristic, complemented
57#16840363C2211yescharacteristic, complemented
58#16840362—21no—
59#16840362—21no—
60C4⋊Q8×D61C2211yescharacteristic
61#127×D61C2211yescharacteristic
62#126×D61—21no—
63#125×D61C2211yescharacteristic
64#124×D61—21no—
65#124×D61C2211yescharacteristic
66#123×D61—21no—
67#123×D61—21no—
68#123×D61—21no—
69C22⋊Q8×D61—21no—
70C22⋊Q8×D61C2211yescharacteristic
71#121×D61—21no—
72#121×D61—21no—
73#121×D61C2211yescharacteristic
74#121×D61C2211yescharacteristic
75#121×D61C2211yescharacteristic
76C4×Q8×D61C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78C4×D4×D61C2211yescharacteristic
79C4×D4×D61C2211yescharacteristic
80#117×D61C2211yescharacteristic
81#16840172C2211yescharacteristic, complemented
82#16840171C2211yescharacteristic, complemented
83#16840170C2211yescharacteristic, complemented
84#16840170C2211yescharacteristic, complemented
85#16840169C2211yescharacteristic, complemented
86#16840169C2211yescharacteristic, complemented
87#16840168C2211yescharacteristic, complemented
88#16840152C2211yescharacteristic, complemented
89#16840151C2211yescharacteristic, complemented
90#16840150C2211yescharacteristic, complemented
91#16840150C2211yescharacteristic, complemented
92#16840149C2211yescharacteristic, complemented
93#16840148C2211yescharacteristic, complemented
94#16840148C2211yescharacteristic, complemented
95#16840119C2211yescharacteristic, complemented
96#16840118C2211yescharacteristic, complemented
97#16840118C2211yescharacteristic, complemented
98#16840117C2211yescharacteristic, complemented
99#16840116C2211yescharacteristic, complemented
100#16840115C2211yescharacteristic, complemented
101#16840115C2211yescharacteristic, complemented
102#16840110C2211yescharacteristic, complemented
103#16840109C2211yescharacteristic, complemented
104#16840108C2211yescharacteristic, complemented
105#16840107C2211yescharacteristic, complemented
106#16840107C2211yescharacteristic, complemented
107#16840107C2211yescharacteristic, complemented
108#16840107C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840014C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic, complemented
113#16840013C2211yescharacteristic, complemented
114#16840013C2211yescharacteristic, complemented
115#16840012C2211yescharacteristic, complemented
116#16840011C2211yescharacteristic, complemented
117#16840010C2211yescharacteristic, complemented
118#16840009C2211yescharacteristic, complemented
119#16840008C2211yescharacteristic, complemented
120#16840007C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840005C2211yescharacteristic, complemented
123#16839999C2211yescharacteristic, complemented
124#16839998C2211yescharacteristic, complemented
125#16839997C2211yescharacteristic, complemented
126#16839997C2211yescharacteristic, complemented
127#16839996C2211yescharacteristic, complemented
128#16839996C2211yescharacteristic, complemented
129#16839995C2211yescharacteristic, complemented
130#16839994C2211yescharacteristic, complemented
131#16839993C2211yescharacteristic, complemented
132#16839992C2211yescharacteristic, complemented
133#16839991C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839989C2211yescharacteristic, complemented
136#16839988C2211yescharacteristic, complemented
137#16839875C2211yescharacteristic, complemented
138#16839874C2211yescharacteristic, complemented
139#16839873C2211yescharacteristic, complemented
140#16839872C2211yescharacteristic, complemented
141#16839872C2211yescharacteristic, complemented
142#16839871C2211yescharacteristic, complemented
143#16839871C2211yescharacteristic, complemented
144#16839865C2211yescharacteristic, complemented
145#16839864C2211yescharacteristic, complemented
146#16839863C2211yescharacteristic, complemented
147#16839862C2211yescharacteristic, complemented
148#16839861C2211yescharacteristic, complemented
149#16839860C2211yescharacteristic, complemented
150#16839859C2211yescharacteristic, complemented
151#16839853C2211yescharacteristic, complemented
152C4×#11758190C2211yescharacteristic, complemented
153SD16×Dic61C2211yescharacteristic, complemented
154C4×#11758201C2211yescharacteristic, complemented
155#16839849C2211yescharacteristic, complemented
156C4×#11758200C2211yescharacteristic, complemented
157#16839847C2211yescharacteristic, complemented
158C4×D488C2211yescharacteristic, complemented
159D8×Dic61C2211yescharacteristic, complemented
160#16839844C2211yescharacteristic, complemented
161C4×#11758199C2211yescharacteristic, complemented
162C4×#11758199C2211yescharacteristic, complemented
163#16839842C2211yescharacteristic, complemented
164#16839842C2211yescharacteristic, complemented
165#107×D61C2211yescharacteristic
166#107×D61C2211yescharacteristic
167#106×D61C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#103×D61C2211yescharacteristic
170#103×D61C2211yescharacteristic
171#102×D61C2211yescharacteristic
172#102×D61C2211yescharacteristic
173#102×D61C2211yescharacteristic
174#102×D61C2211yescharacteristic
175#102×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#16839720C2211yescharacteristic, complemented
178#16839719C2211yescharacteristic, complemented
179#16839719C2211yescharacteristic, complemented
180#16839718C2211yescharacteristic, complemented
181#16839717C2211yescharacteristic, complemented
182#16839716C2211yescharacteristic, complemented
183#16839716C2211yescharacteristic, complemented
184#97×D61C2211yescharacteristic
185#97×D61C2211yescharacteristic
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#540C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic, complemented
203C2×Q8×D61—21no—
204C2×Q8×D61C2311yescharacteristic
205C2×D4×D61—21no—
206C2×D4×D61—21no—
207C2×D4×D61—21no—
208C2×D4×D61—21no—
209C2×D4×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C22×C4×D61—21no—
216C22×C4×D61C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223SD16×D61—24no—
224SD16×D61—24no—
225C2×D488C2311yescharacteristic
226C2×D488C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231D8×D61—24no—
232D8×D61—24no—
233C2×#11758194C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×#11758189C2311yescharacteristic
236M16×D61—24no—
237C22×#92418C2311yescharacteristic
238C2×C8×D61—24no—
239C2×C8×D61C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519776—21no—
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519775—21no—
250#14519774C2311yescharacteristic
251#14519773—21no—
252#14519773—21no—
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519769C2311yescharacteristic
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519766—21no—
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519764—21no—
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519760—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758—21no—
300#14519757—21no—
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753C2311yescharacteristic
312#14519752—21no—
313#14519752—21no—
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751—21no—
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519748C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344#14519742—21no—
345#14519742C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348C4×D244C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350D4×Dic61C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736C2311yescharacteristic
362#14519735D411yescharacteristic
363#14519735D411yescharacteristic
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366#14519733D411yescharacteristic
367#14519733D411yescharacteristic
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61D411yescharacteristic
374C4⋊C4×D61D411yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
390C42×D61—21no—
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C23×D61C2×D411yescharacteristic
488C2×Q8×C61—21no—
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61C2×D411yescharacteristic
519Q8×D61—22no—
520Q8×D61—22no—
521Q8×D61—82no—
522D4×D61—22no—
523D4×D61—22no—
524D4×D61—22no—
525D4×D61—22no—
526D4×D61—22no—
527D4×D61—22no—
528D4×D61—82no—
529D4×D61—82no—
530D4×D61—82no—
531D4×D61—82no—
532D4×D61—82no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244C2411yescharacteristic
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—82no—
555C2×C4×D61—82no—
556C2×C4×D61—82no—
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2411yescharacteristic
564C2×C4×D61C2411yescharacteristic
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122C2411yescharacteristic
570SD16×C61—22no—
571SD16×C61—22no—
572D8×C61—22no—
573D8×C61—22no—
574M16×C61—22no—
575C2×C8×C61—22no—
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61C2×D411yescharacteristic
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61C2×D411yescharacteristic
601C22⋊C4×C61C2×D411yescharacteristic
602C42×C61—21no—
603C42×C61C2411yescharacteristic
604C42×C61C2411yescharacteristic
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758201—22no—
617#11758201—22no—
618#11758200—22no—
619#11758200—22no—
620#11758199—22no—
621#11758199—22no—
622#11758199—22no—
623#11758199—22no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61C2×D411yescharacteristic
679C4×Dic61C2×D411yescharacteristic
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2411yescharacteristic
683C4×Dic61C2411yescharacteristic
684#11758194—22no—
685C2×#92418—22no—
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690D488—22no—
691D488—22no—
692#11758190—22no—
693#11758190—22no—
694#11758189—22no—
695#11758189—22no—
696C8×D61—22no—
697C8×D61—22no—
698C8×D61—22no—
699C8×D61—22no—
700C8×D61#4114yes—
701C8×D61#4114yes—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—22no—
707C22×D61—22no—
708C22×D61—22no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—42no—
713C22×D61—42no—
714C22×D61—42no—
715C22×D61—42no—
716C22×D61—42no—
717C22×D61—42no—
718C22×D61—42no—
719C22×D61—42no—
720C22×D61—42no—
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—81no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—42no—
754C22⋊D61—42no—
755C22⋊D61—42no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C2×Dic61—22no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61—81no—
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781D244—21no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—81no—
788D244—81no—
789D244—81no—
790D244—81no—
791D244—81no—
792C4×D61—22no—
793C4×D61—22no—
794C4×D61—22no—
795C4×D61—22no—
796C4×D61—22no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—22no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61C2×#4112yes—
812C4×D61C2×#4112yes—
813Dic122—21no—
814Dic122—21no—
815Dic122—42no—
816Dic122—81no—
817Dic122—81no—
818Dic122—81no—
819C8×C61—21no—
820C8×C61—21no—
821C8×C61C2×#4112yes—
822C8×C61C2×#4112yes—
823#92418—21no—
824#92418—21no—
825#92418C2×#4112yes—
826#92418C2×#4112yes—
827C2×#3179—611nomaximal, Sylow
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61C23×D411yescharacteristic
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—44no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—84no—
855C2×D61—84no—
856C2×D61—84no—
857C2×D61#53212yes—
858C2×D61#57612yes—
859C2×D61#57712yes—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61C22×#4111yescharacteristic
871C4×C61C22×#4111yescharacteristic
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61#53212yes—
883C2×#542—611no—
884C2×#540—611no—
885#3179—611no—
886#3179—611no—
887#3179—611no—
888#3179—611no—
889#3179—611no—
890#3179—611no—
891#3179—611no—
892#3179—611no—
893#3179—611no—
894#3179—611no—
895#3179—611no—
896#3179—611no—
897#3179—611no—
898#3179—611no—
899#3179—611no—
900#3179D6111yescharacteristic, direct product factor
901C2×#501—611no—
902C2×#496—611no—
903C2×#488—611no—
904C2×#486—611no—
905C2×#469—611no—
906C2×#468—611no—
907C2×#466—611no—
908C2×#465—611no—
909C2×#442—611no—
910C2×#440—611no—
911C2×C4×SD16—611no—
912C2×C4×D8—611no—
913C2×#405—611no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61C2×#53211yescharacteristic
919C2×C61C2×#57611yescharacteristic
920C2×C61C2×#57711yescharacteristic
921D61—41no—
922D61—81no—
923D61—81no—
924D61—81no—
925D61#317914yesdirect product factor
926C22×SD16—611no—
927C22×SD16—611no—
928C22×D8—611no—
929C22×D8—611no—
930C22×M16—611no—
931C23×C8—611no—
932#542—611no—
933#542—611no—
934#542—611no—
935#542—611no—
936#542—611no—
937#542—611no—
938#542—611no—
939#542—1221no—
940#542—1221no—
941#542—1221no—
942#542—1221no—
943#542C2×D6111yescharacteristic, complemented
944#540—611no—
945#540—611no—
946#540—611no—
947#540—611no—
948#540—611no—
949#540—611no—
950#540—611no—
951#540—1221no—
952#540—1221no—
953#540—1221no—
954#540—1221no—
955#540C2×D6111yescharacteristic, complemented
956C2×C4⋊Q8—611no—
957C2×#127—611no—
958C2×#126—1221no—
959C2×#125—611no—
960C2×#124—611no—
961C2×#124—1221no—
962C2×#123—1221no—
963C2×#123—1221no—
964C2×#123—1221no—
965C2×C22⋊Q8—611no—
966C2×C22⋊Q8—1221no—
967C2×#121—611no—
968C2×#121—611no—
969C2×#121—611no—
970C2×#121—1221no—
971C2×#121—1221no—
972C2×C4×Q8—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977#501—611no—
978#501—611no—
979#501—611no—
980#501—611no—
981#501—611no—
982#501—611no—
983#501—611no—
984#501C2×D6111yescharacteristic, complemented
985#496—611no—
986#496—611no—
987#496—611no—
988#496—611no—
989#496—611no—
990#496—611no—
991#496—611no—
992#496C2×D6111yescharacteristic, complemented
993#488—611no—
994#488—611no—
995#488—611no—
996#488—611no—
997#488—611no—
998#488—611no—
999#488—611no—
1000#488C2×D6111yescharacteristic, complemented
1001#486—611no—
1002#486—611no—
1003#486—611no—
1004#486—611no—
1005#486—611no—
1006#486—611no—
1007#486—611no—
1008#486C2×D6111yescharacteristic, complemented
1009#469—611no—
1010#469—611no—
1011#469—611no—
1012#469—611no—
1013#469—611no—
1014#469—611no—
1015#469—611no—
1016#469C2×D6111yescharacteristic, complemented
1017#468—611no—
1018#468—611no—
1019#468—611no—
1020#468—611no—
1021#468—611no—
1022#468—611no—
1023#468—611no—
1024#468C2×D6111yescharacteristic, complemented
1025#466—611no—
1026#466—611no—
1027#466—611no—
1028#466—611no—
1029#466—611no—
1030#466—611no—
1031#466—611no—
1032#466C2×D6111yescharacteristic, complemented
1033#465—611no—
1034#465—611no—
1035#465—611no—
1036#465—611no—
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#465C2×D6111yescharacteristic, complemented
1041#442—611no—
1042#442—611no—
1043#442—611no—
1044#442—611no—
1045#442—611no—
1046#442—611no—
1047#442—611no—
1048#442C2×D6111yescharacteristic, complemented
1049#440—611no—
1050#440—611no—
1051#440—611no—
1052#440—611no—
1053#440—611no—
1054#440—611no—
1055#440—611no—
1056#440C2×D6111yescharacteristic, complemented
1057C4×SD16—611no—
1058C4×SD16—611no—
1059C4×SD16—611no—
1060C4×SD16—611no—
1061C4×SD16—611no—
1062C4×SD16—611no—
1063C4×SD16—611no—
1064C4×SD16C2×D6111yescharacteristic, complemented
1065C4×D8—611no—
1066C4×D8—611no—
1067C4×D8—611no—
1068C4×D8—611no—
1069C4×D8—611no—
1070C4×D8—611no—
1071C4×D8—611no—
1072C4×D8C2×D6111yescharacteristic, complemented
1073C2×#107—611no—
1074C2×#107—611no—
1075C2×#106—611no—
1076C2×#106—611no—
1077C2×#103—611no—
1078C2×#103—611no—
1079C2×#102—611no—
1080C2×#102—611no—
1081C2×#102—611no—
1082C2×#102—611no—
1083C2×#102—611no—
1084C2×#102—611no—
1085#405—611no—
1086#405—611no—
1087#405—611no—
1088#405—611no—
1089#405—611no—
1090#405—611no—
1091#405—611no—
1092#405C2×D6111yescharacteristic, complemented
1093C2×#97—611no—
1094C2×#97—611no—
1095C2×C4×C8—611no—
1096C2×C4×C8—611no—
1097C61C2×#317911yescharacteristic, complemented, Sylow
1098C22×Q8—611no—
1099C22×Q8—1221no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—1221no—
1104C22×D4—1221no—
1105C22×D4—1221no—
1106C22×D4—1221no—
1107C22×D4—1221no—
1108C23×C4—611no—
1109C23×C4—1221no—
1110C23×C4—1221no—
1111C23×C4—1221no—
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—1224no—
1119C2×SD16—1224no—
1120C2×SD16C22×D6111yescharacteristic
1121C2×SD16C22×D6111yescharacteristic
1122C2×D8—611no—
1123C2×D8—611no—
1124C2×D8—611no—
1125C2×D8—611no—
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8—1224no—
1129C2×D8—1224no—
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—1224no—
1136C2×M16C22×D6111yescharacteristic
1137C22×C8—611no—
1138C22×C8—611no—
1139C22×C8—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—1224no—
1145C22×C8C22×D6111yescharacteristic
1146C4⋊Q8—611no—
1147C4⋊Q8—611no—
1148C4⋊Q8—611no—
1149C4⋊Q8—1221no—
1150C4⋊Q8—1221no—
1151C4⋊Q8C22×D6111yescharacteristic
1152#127—611no—
1153#127—611no—
1154#127—611no—
1155#127—1221no—
1156#127—1221no—
1157#127C22×D6111yescharacteristic
1158#126—21no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125C22×D6111yescharacteristic
1172#124—21no—
1173#124—611no—
1174#124—611no—
1175#124—611no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124C22×D6111yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210C22⋊Q8—21no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8C22×D6111yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—611no—
1230#121—611no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—611no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121C22×D6111yescharacteristic
1256#121C22×D6111yescharacteristic
1257#121C22×D6111yescharacteristic
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8C22×D6111yescharacteristic
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4C22×D6111yescharacteristic
1280C4×D4C22×D6111yescharacteristic
1281C4×D4C22×D6111yescharacteristic
1282#117—611no—
1283#117—611no—
1284#117—611no—
1285#117—611no—
1286#117—611no—
1287#117—611no—
1288#117—611no—
1289#117C22×D6111yescharacteristic
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—611no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—611no—
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—1221no—
1297C2×C4⋊C4—1221no—
1298C2×C4⋊C4—1221no—
1299C2×C4⋊C4—1221no—
1300C2×C4⋊C4—1221no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C22⋊C4—1221no—
1308C2×C22⋊C4—1221no—
1309C2×C22⋊C4—1221no—
1310C2×C22⋊C4—1221no—
1311C2×C22⋊C4—1221no—
1312C2×C42—611no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107—611no—
1320#107—611no—
1321#107C22×D6111yescharacteristic
1322#107C22×D6111yescharacteristic
1323#106—611no—
1324#106—611no—
1325#106—611no—
1326#106—611no—
1327#106—611no—
1328#106—611no—
1329#106C22×D6111yescharacteristic
1330#106C22×D6111yescharacteristic
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359#102C22×D6111yescharacteristic
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#97—611no—
1364#97—611no—
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97—611no—
1369#97C22×D6111yescharacteristic
1370#97C22×D6111yescharacteristic
1371C4×C8—611no—
1372C4×C8—611no—
1373C4×C8—611no—
1374C4×C8—611no—
1375C4×C8—611no—
1376C4×C8—611no—
1377C4×C8C22×D6111yescharacteristic
1378C4×C8C22×D6111yescharacteristic
1379C24—611no—
1380C24—1221no—
1381C24—1221no—
1382C24—1221no—
1383C2×Q8—21no—
1384C2×Q8—611no—
1385C2×Q8—1221no—
1386C2×Q8—1221no—
1387C2×Q8—1221no—
1388C2×Q8—1222no—
1389C2×Q8—1222no—
1390C2×Q8—1221no—
1391C2×Q8—4882no—
1392C2×Q8C23×D6111yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—611no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—4882no—
1426C2×D4—4882no—
1427C2×D4—4882no—
1428C2×D4—4882no—
1429C2×D4—4882no—
1430C2×D4C23×D6111yescharacteristic
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—1222no—
1446C22×C4—1222no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—4882no—
1462C22×C4—4882no—
1463C22×C4—4882no—
1464C22×C4C23×D6111yescharacteristic
1465SD16—22no—
1466SD16—22no—
1467SD16—1222no—
1468SD16—1222no—
1469SD16—1222no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—1222no—
1473D8—22no—
1474D8—22no—
1475D8—1222no—
1476D8—1222no—
1477D8—1222no—
1478D8—1222no—
1479D8—1222no—
1480D8—1222no—
1481M16—22no—
1482M16—1222no—
1483M16—1222no—
1484M16—1222no—
1485C2×C8—22no—
1486C2×C8—611no—
1487C2×C8—611no—
1488C2×C8—614no—
1489C2×C8—614no—
1490C2×C8—611no—
1491C2×C8—611no—
1492C2×C8—1222no—
1493C2×C8—1222no—
1494C2×C8—1222no—
1495C2×C8—1222no—
1496C2×C8—1222no—
1497C2×C8C23×D6111yescharacteristic
1498C2×C8C23×D6111yescharacteristic
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4D4×D6111yescharacteristic
1536C4⋊C4D4×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42C23×D6111yescharacteristic
1596C42C23×D6111yescharacteristic
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—611no—
1601C23—611no—
1602C23—1222no—
1603C23—1222no—
1604C23—1222no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—2442no—
1609C23—2442no—
1610C23—2442no—
1611C23—2442no—
1612C23—2442no—
1613C23—2442no—
1614C23—2442no—
1615C23—2442no—
1616C23—2442no—
1617C23C2×D4×D6111yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—4881no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—2442no—
1660D4—2442no—
1661D4—2442no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—611no—
1673C2×C4—612no—
1674C2×C4—612no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—1222no—
1681C2×C4—1222no—
1682C2×C4—1222no—
1683C2×C4—1222no—
1684C2×C4—1222no—
1685C2×C4—1222no—
1686C2×C4—1222no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—2442no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—612no—
1717C8—612no—
1718C8—1221no—
1719C8—1221no—
1720C8#41×D6112yes—
1721C8#41×D6112yes—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—612no—
1735C22—612no—
1736C22—612no—
1737C22—1221no—
1738C22—1221no—
1739C22—1221no—
1740C22—4884no—
1741C22—4884no—
1742C22—4884no—
1743C22—2444no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22C22×D4×D6111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—612no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C4C2×#41×D6111yescharacteristic
1776C4C2×#41×D6111yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—614no—
1782C2—4881no—
1783C2—4881no—
1784C2—4881no—
1785C2—2441no—
1786C2#532×D6111yescharacteristic
1787C2#576×D6111yescharacteristic
1788C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3179C2
socleC22×C61C23×D4
hypercenter#3179D61
hypocenterC61C2×#3179
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #542×D61C2semidirect
2. #540×D61C2semidirect
3. #21456509C2semidirect
4. #21456508C2semidirect
5. #21456507C2semidirect
6. #21456506C2semidirect
7. #21456505C2semidirect
8. #21456504C2semidirect
9. #21456503C2semidirect
10. #21456502C2semidirect
11. #21456501C2semidirect
12. #21456500C2semidirect
13. #21456499C2semidirect
14. #21456498C2semidirect
15. #21456497C2semidirect
16. #21456496C2semidirect
17. #21456495C2semidirect
18. #501×D61C2semidirect
19. #496×D61C2semidirect
20. #488×D61C2semidirect
21. #486×D61C2semidirect
22. #469×D61C2semidirect
23. #468×D61C2semidirect
24. #466×D61C2semidirect
25. #465×D61C2semidirect
26. #442×D61C2semidirect
27. #440×D61C2semidirect
28. C4×SD16×D61C2semidirect
29. C4×D8×D61C2semidirect
30. #405×D61C2semidirect
31. C61×#3179C2semidirect
38. #16840386C22semidirect
39. #16840385C22semidirect
40. #16840384C22semidirect
41. #16840383C22semidirect
43. #16840381C22semidirect
45. #16840379C22semidirect
47. #16840377C22semidirect
49. #16840368C22semidirect
50. #16840367C22semidirect
51. #16840366C22semidirect
52. #16840365C22semidirect
53. #16840365C22semidirect
56. #16840363C22semidirect
57. #16840363C22semidirect
81. #16840172C22semidirect
82. #16840171C22semidirect
83. #16840170C22semidirect
84. #16840170C22semidirect
85. #16840169C22semidirect
86. #16840169C22semidirect
87. #16840168C22semidirect
88. #16840152C22semidirect
89. #16840151C22semidirect
90. #16840150C22semidirect
91. #16840150C22semidirect
92. #16840149C22semidirect
93. #16840148C22semidirect
94. #16840148C22semidirect
95. #16840119C22semidirect
96. #16840118C22semidirect
97. #16840118C22semidirect
98. #16840117C22semidirect
99. #16840116C22semidirect
100. #16840115C22semidirect
101. #16840115C22semidirect
102. #16840110C22semidirect
103. #16840109C22semidirect
104. #16840108C22semidirect
105. #16840107C22semidirect
106. #16840107C22semidirect
107. #16840107C22semidirect
108. #16840107C22semidirect
109. #16840016C22semidirect
110. #16840015C22semidirect
111. #16840014C22semidirect
112. #16840014C22semidirect
113. #16840013C22semidirect
114. #16840013C22semidirect
115. #16840012C22semidirect
116. #16840011C22semidirect
117. #16840010C22semidirect
118. #16840009C22semidirect
119. #16840008C22semidirect
120. #16840007C22semidirect
121. #16840006C22semidirect
122. #16840005C22semidirect
123. #16839999C22semidirect
124. #16839998C22semidirect
125. #16839997C22semidirect
126. #16839997C22semidirect
127. #16839996C22semidirect
128. #16839996C22semidirect
129. #16839995C22semidirect
130. #16839994C22semidirect
131. #16839993C22semidirect
132. #16839992C22semidirect
133. #16839991C22semidirect
134. #16839990C22semidirect
135. #16839989C22semidirect
136. #16839988C22semidirect
137. #16839875C22semidirect
138. #16839874C22semidirect
139. #16839873C22semidirect
140. #16839872C22semidirect
141. #16839872C22semidirect
142. #16839871C22semidirect
143. #16839871C22semidirect
144. #16839865C22semidirect
145. #16839864C22semidirect
146. #16839863C22semidirect
147. #16839862C22semidirect
148. #16839861C22semidirect
149. #16839860C22semidirect
150. #16839859C22semidirect
151. #16839853C22semidirect
152. C4×#11758190C22semidirect
153. SD16×Dic61C22semidirect
154. C4×#11758201C22semidirect
155. #16839849C22semidirect
156. C4×#11758200C22semidirect
157. #16839847C22semidirect
158. C4×D488C22semidirect
159. D8×Dic61C22semidirect
160. #16839844C22semidirect
161. C4×#11758199C22semidirect
162. C4×#11758199C22semidirect
163. #16839842C22semidirect
164. #16839842C22semidirect
177. #16839720C22semidirect
178. #16839719C22semidirect
179. #16839719C22semidirect
180. #16839718C22semidirect
181. #16839717C22semidirect
182. #16839716C22semidirect
183. #16839716C22semidirect
188. C61×#542C22semidirect
189. C61×#540C22semidirect
190. C61×#501C22semidirect
191. C61×#496C22semidirect
192. C61×#488C22semidirect
193. C61×#486C22semidirect
194. C61×#469C22semidirect
195. C61×#468C22semidirect
196. C61×#466C22semidirect
197. C61×#465C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#405C22semidirect
900. #3179D61direct (N × H)
925. D61#3179direct (N × H)
943. #542C2×D61semidirect
955. #540C2×D61semidirect
984. #501C2×D61semidirect
992. #496C2×D61semidirect
1000. #488C2×D61semidirect
1008. #486C2×D61semidirect
1016. #469C2×D61semidirect
1024. #468C2×D61semidirect
1032. #466C2×D61semidirect
1040. #465C2×D61semidirect
1048. #442C2×D61semidirect
1056. #440C2×D61semidirect
1064. C4×SD16C2×D61semidirect
1072. C4×D8C2×D61semidirect
1092. #405C2×D61semidirect
1097. C61C2×#3179semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#542×D612
#540×D612
#214565092
#214565082
#214565072
#214565062
#214565052
#214565042
#214565032
#214565022
#214565012
#214565002
#214564992
#214564982
#214564972
#214564962
#214564952
#501×D612
#496×D612
#488×D612
#486×D612
#469×D612
#468×D612
#466×D612
#465×D612
#442×D612
#440×D612
C4×SD16×D612
C4×D8×D612
#405×D612
C61×#31792
C2×#317961